Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Morse_theory> ?p ?o }
- Morse_theory abstract ""Morse function" redirects here. In another context, a "Morse function" can also mean an anharmonic oscillator: see Morse potential.In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold. According to the basic insights of Marston Morse, a typical differentiable function on a manifold will reflect the topology quite directly. Morse theory allows one to find CW structures and handle decompositions on manifolds and to obtain substantial information about their homology.Before Morse, Arthur Cayley and James Clerk Maxwell had developed some of the ideas of Morse theory in the context of topography. Morse originally applied his theory to geodesics (critical points of the energy functional on paths). These techniques were used in Raoul Bott's proof of his periodicity theorem.The analogue of Morse theory for complex manifolds is Picard–Lefschetz theory.".
- Morse_theory thumbnail Saddle_point.png?width=300.
- Morse_theory wikiPageExternalLink 0104155.
- Morse_theory wikiPageExternalLink cayleyconslo.pdf.
- Morse_theory wikiPageExternalLink hcobord.pdf.
- Morse_theory wikiPageExternalLink hilldale.pdf.
- Morse_theory wikiPageExternalLink item?id=PMIHES_1988__68__99_0.
- Morse_theory wikiPageID "348560".
- Morse_theory wikiPageLength "18023".
- Morse_theory wikiPageOutDegree "96".
- Morse_theory wikiPageRevisionID "676843060".
- Morse_theory wikiPageWikiLink Arthur_Cayley.
- Morse_theory wikiPageWikiLink Atlas_(topology).
- Morse_theory wikiPageWikiLink Betti_number.
- Morse_theory wikiPageWikiLink Bott_periodicity_theorem.
- Morse_theory wikiPageWikiLink CW_complex.
- Morse_theory wikiPageWikiLink Category:Lemmas.
- Morse_theory wikiPageWikiLink Category:Morse_theory.
- Morse_theory wikiPageWikiLink Category:Smooth_functions.
- Morse_theory wikiPageWikiLink Cellular_homology.
- Morse_theory wikiPageWikiLink Chart_(topology).
- Morse_theory wikiPageWikiLink Closed_curve.
- Morse_theory wikiPageWikiLink Compact_space.
- Morse_theory wikiPageWikiLink Contour_line.
- Morse_theory wikiPageWikiLink Critical_point_(mathematics).
- Morse_theory wikiPageWikiLink Critical_set.
- Morse_theory wikiPageWikiLink Critical_value.
- Morse_theory wikiPageWikiLink Curve.
- Morse_theory wikiPageWikiLink Cylinder_(geometry).
- Morse_theory wikiPageWikiLink Deformation_retract.
- Morse_theory wikiPageWikiLink Diagonal_matrix.
- Morse_theory wikiPageWikiLink Diffeomorphic.
- Morse_theory wikiPageWikiLink Diffeomorphism.
- Morse_theory wikiPageWikiLink Differentiable_function.
- Morse_theory wikiPageWikiLink Differentiable_manifold.
- Morse_theory wikiPageWikiLink Differential_(calculus).
- Morse_theory wikiPageWikiLink Differential_(mathematics).
- Morse_theory wikiPageWikiLink Differential_topology.
- Morse_theory wikiPageWikiLink Digital_Morse_theory.
- Morse_theory wikiPageWikiLink Discrete_Morse_theory.
- Morse_theory wikiPageWikiLink Disk_(mathematics).
- Morse_theory wikiPageWikiLink Ed_Witten.
- Morse_theory wikiPageWikiLink Edward_Witten.
- Morse_theory wikiPageWikiLink Eells–Kuiper_manifold.
- Morse_theory wikiPageWikiLink Embedding.
- Morse_theory wikiPageWikiLink Euclidean_space.
- Morse_theory wikiPageWikiLink Euler_characteristic.
- Morse_theory wikiPageWikiLink Floer_homology.
- Morse_theory wikiPageWikiLink Function_(mathematics).
- Morse_theory wikiPageWikiLink Functional_(mathematics).
- Morse_theory wikiPageWikiLink Generic_property.
- Morse_theory wikiPageWikiLink Geodesic.
- Morse_theory wikiPageWikiLink Gradient.
- Morse_theory wikiPageWikiLink Gradient-like_vector_field.
- Morse_theory wikiPageWikiLink H-cobordism.
- Morse_theory wikiPageWikiLink H-cobordism_theorem.
- Morse_theory wikiPageWikiLink Handle_decomposition.
- Morse_theory wikiPageWikiLink Harmonic_function.
- Morse_theory wikiPageWikiLink Hessian_matrix.
- Morse_theory wikiPageWikiLink Homology_(mathematics).
- Morse_theory wikiPageWikiLink Homotopy.
- Morse_theory wikiPageWikiLink Homotopy-equivalent.
- Morse_theory wikiPageWikiLink Homotopy_equivalent.
- Morse_theory wikiPageWikiLink Image_(mathematics).
- Morse_theory wikiPageWikiLink Inverse_image.
- Morse_theory wikiPageWikiLink Isolated_point.
- Morse_theory wikiPageWikiLink Jacobi_set.
- Morse_theory wikiPageWikiLink Jacobian_matrix.
- Morse_theory wikiPageWikiLink Jacobian_matrix_and_determinant.
- Morse_theory wikiPageWikiLink James_Clerk_Maxwell.
- Morse_theory wikiPageWikiLink Lagrangian_Grassmannian.
- Morse_theory wikiPageWikiLink Level_set.
- Morse_theory wikiPageWikiLink Lusternik–Schnirelmann_category.
- Morse_theory wikiPageWikiLink Manifold.
- Morse_theory wikiPageWikiLink Marston_Morse.
- Morse_theory wikiPageWikiLink Method_of_steepest_descent.
- Morse_theory wikiPageWikiLink Monkey_saddle.
- Morse_theory wikiPageWikiLink Morse-Palais_lemma.
- Morse_theory wikiPageWikiLink Morse_homology.
- Morse_theory wikiPageWikiLink Morse_potential.
- Morse_theory wikiPageWikiLink Morse–Palais_lemma.
- Morse_theory wikiPageWikiLink Morse–Smale_system.
- Morse_theory wikiPageWikiLink Mountain_pass.
- Morse_theory wikiPageWikiLink Neighborhood_(topology).
- Morse_theory wikiPageWikiLink Neighbourhood_(mathematics).
- Morse_theory wikiPageWikiLink Picard–Lefschetz_theory.
- Morse_theory wikiPageWikiLink Point_(geometry).
- Morse_theory wikiPageWikiLink Positive-definite_matrix.
- Morse_theory wikiPageWikiLink Raoul_Bott.
- Morse_theory wikiPageWikiLink Reeb_sphere_theorem.
- Morse_theory wikiPageWikiLink Riemannian_manifold.
- Morse_theory wikiPageWikiLink Riemannian_metric.
- Morse_theory wikiPageWikiLink Round_function.
- Morse_theory wikiPageWikiLink Saddle_point.
- Morse_theory wikiPageWikiLink Saddle_points.
- Morse_theory wikiPageWikiLink Sards_lemma.
- Morse_theory wikiPageWikiLink Sards_theorem.
- Morse_theory wikiPageWikiLink Singular_point_of_a_curve.
- Morse_theory wikiPageWikiLink Smooth_function.
- Morse_theory wikiPageWikiLink Smooth_manifold.